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Finding the Fourth Proportional to 267,647.42, 369,358.16 and 146,787.66

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Solution

The fourth proportional to 267,647.42, 369,358.16 and 146,787.66 is: 202,569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,647.42 : 369,358.16 = 146,787.66 : x
  2. Step 2: Convert to fraction form
    267,647.42/369,358.16 = 146,787.66/x
  3. Step 3: Cross multiply
    267,647.42x = 369,358.16 × 146,787.66
  4. Step 4: Simplify right side
    267,647.42x = 54,217,220,008.31
  5. Step 5: Solve for x
    x = 54,217,220,008.31/267,647.42
  6. Step 6: Final answer
    x = 202,569.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.